A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control

Autor: Mustapha Lhous, Omar Zakary, Mostafa Rachik
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2020 (2020)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2020/9385261
Popis: The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. The modelling and the control process of the system that describes the case of monogamous marriages in a multiregion framework are considered. Two combined control strategies are proposed, which allow reducing the virgin and divorced individuals and increasing the number of married individuals in a specific region. The first control is considered as the impact of public awareness campaigns to educate virgin men and women about the benefits of marriage for the individual and the society; the second control characterizes the legal procedures, administrative complications, and the heavy financial and social consequences of divorces. The optimal control theory is applied to characterize such optimal strategies and determined numerically using a progressive-regressive discrete scheme to discuss the obtained results.
Databáze: Directory of Open Access Journals
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